Solve 6+x/2+5+5/6x=10

$$\frac { 6 + x } { 2 } + 5 + \frac { 5 } { 6 } x = 10$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,6.

$$3\left(6+x\right)+30+5x=60$$

Use the distributive property to multiply 3 by 6+x.

$$18+3x+30+5x=60$$

Add 18 and 30 to get 48.

$$48+3x+5x=60$$

Combine 3x and 5x to get 8x.

$$48+8x=60$$

Subtract 48 from both sides.

$$8x=60-48$$

Subtract 48 from 60 to get 12.

$$8x=12$$

Divide both sides by 8.

$$x=\frac{12}{8}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{3}{2}$$